2 papers
math.FA2026
A short note on hereditary Mazur intersection property
Pradipta Bandyopadhyay, Deepak Gothwal
In this note, we prove that hereditary Mazur intersection property (MIP) does not imply Fréchet smoothness using an example by Borwein and Fabian (1993).
math.FA2025
(Asymptotic) uniform smoothness, ball separation and residuality results
Pradipta Bandyopadhyay, Deepak Gothwal
In this article, we discuss a ball separation characterisation of asymptotically uniformly smooth (AUS) norms. We use this characterisation to prove the residuality of the set of e…